On a Dirichlet boundary value problem for an Ermakov–Painlevé I equation. A Hamiltonian EPI system

Autor: Pablo Amster, Colin Rogers
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Electronic Journal of Qualitative Theory of Differential Equations, Vol 2023, Iss 23, Pp 1-14 (2023)
Druh dokumentu: article
ISSN: 1417-3875
DOI: 10.14232/ejqtde.2023.1.23
Popis: Here, a proto-type Ermakov–Painlevé I equation is introduced and a homogeneous Dirichlet-type boundary value problem analysed. In addition, a novel Ermakov–Painlevé I system is set down which is reducible by an involutory transformation to the autonomous Ermakov–Ray–Reid system augmented by a single component Ermakov–Painlevé I equation. Hamiltonian such systems are delimited.
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